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## Homework Statement

[itex]V(x) = \begin{cases}

\infty & , & x<0 \\

-g*\delta (x-a) & , & x>0

\end{cases}

\text{ }[/itex]

Write the wave function in the left side of x=a and right side of x=a (BOUND STATE)

## The Attempt at a Solution

In the right side o x=a i would say that it is [itex]\psi (x)=\text{Be}^{-\text{kx}}[/itex].

But in the left side, i am having problems figuring out what is the wave function.

Is it [itex]\psi (x)=\text{Be}^{\text{kx}}[/itex] in the even case and [itex]\psi (x)=-\text{Be}^{\text{kx}}[/itex] in the odd case??

Or because it is between two potential, it is [itex]\psi (x)=A *\text{Cos}[\text{px}][/itex] even case.

[itex]\psi (x)=A *\text{Sin}[\text{px}][/itex] odd case.

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